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Finding the Fourth Proportional to 652,193.80, 978,290.70 and 415,997.80

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Solution

The fourth proportional to 652,193.80, 978,290.70 and 415,997.80 is: 623,996.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,193.80 : 978,290.70 = 415,997.80 : x
  2. Step 2: Convert to fraction form
    652,193.80/978,290.70 = 415,997.80/x
  3. Step 3: Cross multiply
    652,193.80x = 978,290.70 × 415,997.80
  4. Step 4: Simplify right side
    652,193.80x = 406,966,778,960.46
  5. Step 5: Solve for x
    x = 406,966,778,960.46/652,193.80
  6. Step 6: Final answer
    x = 623,996.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.